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201000221220 = 223541122366809
BaseRepresentation
bin1011101100110010001…
…0111111101000100100
3201012211001101012001210
42323030202333220210
511243122024034340
6232201020151420
720343654455601
oct2731442775044
9635731335053
10201000221220
1178275426207
1232b56698570
1315c53605c56
149a2ac896a8
15536619b180
hex2ecc8bfa24

201000221220 has 96 divisors (see below), whose sum is σ = 577007504640. Its totient is φ = 52249200640.

The previous prime is 201000221183. The next prime is 201000221231. The reversal of 201000221220 is 22122000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000221196 and 201000221205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975176 + ... + 3041984.

It is an arithmetic number, because the mean of its divisors is an integer number (6010494840).

Almost surely, 2201000221220 is an apocalyptic number.

201000221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288503752320).

201000221220 is an abundant number, since it is smaller than the sum of its proper divisors (376007283420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201000221220 is a wasteful number, since it uses less digits than its factorization.

201000221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68085 (or 68083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201000221220 its reverse (22122000102), we get a palindrome (223122221322).

The spelling of 201000221220 in words is "two hundred one billion, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1223 1230 2446 2460 3669 4892 6115 7338 12230 14676 18345 24460 36690 50143 66809 73380 100286 133618 150429 200427 200572 250715 267236 300858 334045 400854 501430 601716 668090 752145 801708 1002135 1002860 1336180 1504290 2004270 2739169 3008580 4008540 5478338 8217507 10956676 13695845 16435014 27391690 32870028 41087535 54783380 81707407 82175070 163414814 164350140 245122221 326829628 408537035 490244442 817074070 980488884 1225611105 1634148140 2451222210 3350003687 4902444420 6700007374 10050011061 13400014748 16750018435 20100022122 33500036870 40200044244 50250055305 67000073740 100500110610 201000221220